@article{tjant2020831,
author={Gensel, B.},
title={An Elementary Proof of the Twin Prime Conjecture},
journal={Turkish Journal of Analysis and Number Theory},
volume={8},
number={3},
pages={52--56},
year={2020},
url={http://pubs.sciepub.com/tjant/8/3/1},
issn={2333-1232},
abstract={It is well known that every prime number <img src=image/abs1.png></img> has the form <img src=image/abs2.png></img> or <img src=image/abs3.png></img> We will call <img src=image/abs4.png></img> the <b>generator</b> of <img src=image/abs5.png></img> Twin primes are distinghuished due to a <b>common generator</b> for each pair. Therefore it makes sense to search for the Twin Primes on the level of their generators. This paper present a new approach to prove the <b>Twin Prime Conjecture</b> by a sieve method to extract all Twin Primes on the level of the Twin Prime Generators. We define the <img src=image/abs6.png></img>--numbers <img src=image/abs7.png></img> as numbers for which holds that <img src=image/abs8.png></img> and <img src=image/abs9.png></img> are coprime to the prime <img src=image/abs10.png></img> By dint of the average distance <img src=image/abs11.png></img> between the <img src=image/abs12.png></img>--numbers we can prove the <b>Twin Prime Conjecture</b> indirectly.},
doi={10.12691/tjant-8-3-1}
publisher={Science and Education Publishing}
}